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Titlebook: Notes on Geometry and Arithmetic; Daniel Coray Textbook 2020 Springer Nature Switzerland AG 2020 algebraic varieties.rational points.cubic

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發(fā)表于 2025-3-21 18:40:30 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Notes on Geometry and Arithmetic
編輯Daniel Coray
視頻videohttp://file.papertrans.cn/669/668254/668254.mp4
概述Offers readers a ‘hands on’ introduction to Diophantine geometry.Progresses from introductory to advanced topics using the language of classical geometry.Assumes only modest prerequisites in abstract
叢書名稱Universitext
圖書封面Titlebook: Notes on Geometry and Arithmetic;  Daniel Coray Textbook 2020 Springer Nature Switzerland AG 2020 algebraic varieties.rational points.cubic
描述.This English translation of Daniel Coray’s original French textbook. Notes de géométrie et d’arithmétique. introduces students to Diophantine geometry. It engages the reader with concrete and interesting problems using the language of classical geometry, setting aside all but the most essential ideas from algebraic geometry and commutative algebra. Readers are invited to discover rational points on varieties through an appealing ‘hands on’ approach that offers a pathway toward active research in arithmetic geometry. Along the way, the reader encounters the state of the art on solving certain classes of polynomial equations with beautiful geometric realizations, and travels a unique ascent towards variations on the Hasse Principle..Highlighting the importance of Diophantus of Alexandria as a precursor to the study of arithmetic over the rational numbers, this textbook introduces basic notions with an emphasis on Hilbert’s Nullstellensatz over an arbitrary field. A digression on Euclidian rings is followed by a thorough study of the arithmetic theory of cubic surfaces. Subsequent chapters are devoted to p-adic fields, the Hasse principle, and the subtle notion of Diophantine dimensi
出版日期Textbook 2020
關(guān)鍵詞algebraic varieties; rational points; cubic surfaces; Hasse principle; Diophantine dimension of a field
版次1
doihttps://doi.org/10.1007/978-3-030-43781-7
isbn_softcover978-3-030-43780-0
isbn_ebook978-3-030-43781-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Cubic Surfaces,nition .), even if . is algebraically closed. They are nevertheless ., which means that one can parametrize their points, even if the base field is not algebraically closed, but not in an injective manner.
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Textbook 2020tions with an emphasis on Hilbert’s Nullstellensatz over an arbitrary field. A digression on Euclidian rings is followed by a thorough study of the arithmetic theory of cubic surfaces. Subsequent chapters are devoted to p-adic fields, the Hasse principle, and the subtle notion of Diophantine dimensi
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s how blockchains can be redesigned to account for key economic trade-offs, and will be of interest to researchers and students of economics, financial technology and computer science, alongside policymakers..978-3-031-33085-8978-3-031-33083-4
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Daniel Corayng factors in determining the decision of whether to invest abroad or not. At the same time, a study of the potential benefits will indicate what sort of corporations in which industries will be likely to invest abroad and in what types of countries.
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Daniel Coray’ quality of life. This provides supporting evidence that the values for public libraries can be interpreted as reflecting primary benefits stemming from welfare changes associated with library engagement.
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